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Finding the Fourth Proportional to 2,889.69, 4,336.08 and 2,838.21

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Solution

The fourth proportional to 2,889.69, 4,336.08 and 2,838.21 is: 4,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.69 : 4,336.08 = 2,838.21 : x
  2. Step 2: Convert to fraction form
    2,889.69/4,336.08 = 2,838.21/x
  3. Step 3: Cross multiply
    2,889.69x = 4,336.08 × 2,838.21
  4. Step 4: Simplify right side
    2,889.69x = 12,306,705.62
  5. Step 5: Solve for x
    x = 12,306,705.62/2,889.69
  6. Step 6: Final answer
    x = 4,258.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.